1. Special Right Triangles 45:45:90 Right Triangles

2. 45:45:90 Relationship Given: A square with side=4, find the length of the diagonal. 45º 4 4 4 4 x

3. Given: A square with side=10, find the length of the diagonal. 45º 10 x 45:45:90 Relationship

4. Conclusion 1 45º 1 - The sides opposite the 45º angles are 1 - The side opposite the 90º angle is - The ratio of the sides of a 45:45:90 right triangle is

5. Remember, the 45-45-90 triangle always has the same ratio for its sides: Remember the relationship the sides have with the angles! The smallest side is across from the smallest angle! Since 45 is the smallest angle, then the 1 goes across from it! Since 90 is the largest angle, then the radical 2 goes across from it! Page 27

6. Page 28 Multiply by 4

7. Page 28 Multiply by 3

8. Page 28 Multiply by 7

9. Page 28 Multiply by 5

10. Page 28

16. Page 29

17. Homework Page 29 Examples on top of page: #3,4 Exercises on bottom of page: #1,3,7,8,9 Separate Sheet

18. Page 29

19. A D C B